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Debora [2.8K]
3 years ago
12

The slope of the line that passes through the points (9, 11) and (3,6) is what

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
7 0
Formula for slope (m) is:

(y2 - y1) / (x2 - x1)

Our points are (9, 11) and (3, 6).

Therefore we can determine:

y2 = 6
y1 = 11
x2 = 3
x1 = 9

Substitute these into the formula:

(y2 - y1) / (x2 - x1)

(6 - 11) / (3 - 9)

Solve:

(6 - 11) / (3 - 9)

-5 / -6

Reduce the fraction with -1:

Slope (m) = 5 / 6
icang [17]3 years ago
5 0

Answer:

The slope is 5/6

Step-by-step explanation:

1. Put the point into m= y2-y1/x2-x1

m= 11-6/9-6

2. Subtract

m=5/6

And there you go!

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A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.
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Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car and the observer.

(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.
8 0
3 years ago
Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

B. m<B = 60°

C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

3 0
3 years ago
Read 2 more answers
You rented a car on vacation to go sightseeing for a day. You had to pay $50 for the day and $.15 per mile, along with $35 for g
stellarik [79]

The number of miles for which the car has been driven if one paid $122.50 as in the task content is; 2.5 miles.

<h3>For how many miles was the car driven?</h3>

It follows from the task content that the total amount paid was; $122.50.

Hence, after subtraction the constant charges, for the day and for gas, the remainder is;

$122.50 - $50 - $35

= $37.50.

Ultimately, if the charge per mile is $15, then the number of miles driven is; $37.50/$15

= 2.5 miles.

Read more on cost per unit;

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A bakery sells 6 bagels for $3.99 and 4 muffins for $2.29. What is the total
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$15.96 for bagels, $6.87 for muffins
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Examine the system of equations. y = negative one-fourth x minus 2 x = 4 What is the solution to the system? (–3, –2) (4, –3) (4
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Answer:

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